Frauke M. Bleher - Publications

WORK IN PROGRESS

• F.M. Bleher, J.B. Froelich and G. Llosent, "Universal deformation rings and dihedral blocks with two simple modules," in progress.

• F.M. Bleher and J.A. Vélez, "Universal deformation rings of modules over Frobenius algebras," preprint. ArXiv:0911.1100

SUBMITTED RESEARCH ARTICLES

• F.M. Bleher and T. Chinburg, "Obstructions and finiteness theorems for deformations of complexes," submitted. ArXiv:0901.0101

• F.M. Bleher, "Universal deformation rings and generalized quaternion defect groups," submitted. ArXiv:0909.1031

• F.M. Bleher and J.B. Froelich, "Universal deformation rings for the symmetric group S₅ and one of its double covers," submitted. ArXiv:0904.0031

A. RESEARCH ARTICLES: REFEREED (ACCEPTED OR PUBLISHED)

27. F.M. Bleher, "Dihedral blocks with two simple modules," 11 pages, accepted, Proc. Amer. Math. Soc. ArXiv:0912.0987

26. F.M. Bleher and G. Llosent, "Universal deformation rings for the symmetric group S₄," 16 pages, in press, Algebr. Represent. Theory.
    Posted online by Algebr. Represent. Theory on February 11, 2009 DOI: 10.1007/s10468-008-9120-7

25. F.M. Bleher, "Universal deformation rings and dihedral defect groups," Trans. Amer. Math. Soc. 361 (2009), 3661-3705. DOI: 10.1090/S0002-9947-09-04543-7

24. F.M. Bleher, T. Chinburg and J. Froelich, "Capping groups and some cases of the Fontaine-Mazur conjecture," Proc. Amer. Math. Soc. 137 (2009), 1551-1560. DOI: 10.1090/S0002-9939-08-09677-9

23. F.M. Bleher and T. Chinburg, "Pullback moduli spaces," Comm. Algebra 37 (2009), 1216-1239. DOI: 10.1080/00927870802466744

22. F.M. Bleher, "Universal deformation rings and dihedral 2-groups," J. London Math. Soc. 79 (2009), 225-237. DOI: 10.1112/jlms/jdn071

21. F.M. Bleher and T. Chinburg, "Galois structure of homogeneous coordinate rings," Trans. Amer. Math. Soc. 360 (2008), 6269-6301. DOI: 10.1090/S0002-9947-08-04436-X

20. F.M. Bleher and T. Chinburg, "Universal deformation rings need not be complete intersections," Math. Ann. 337 (2007), 739-767. DOI: 10.1007/s00208-006-0054-2

19. F.M. Bleher, "Deformations and derived equivalences," Proc. Amer. Math. Soc. 134 (2006), 2503-2510. DOI: 10.1090/S0002-9939-06-08269-4

18. F.M. Bleher and T. Chinburg, "Universal deformation rings need not be complete intersections," C. R. Math. Acad. Sci. Paris 342 (2006), 229-232. DOI: 10.1016/j.crma.2005.12.006

17. F.M. Bleher and T. Chinburg, "Deformations and derived categories," Ann. Institut Fourier (Grenoble) 55 (2005), 2285-2359 (75 pages). (cedram.org link to pdf file)

16. F.M. Bleher and T. Chinburg, "Deformations with respect to an algebraic group," Illinois J. Math. 47 (2003), 899-919. (Illinois Journal link to pdf file)

15. F.M. Bleher and T. Chinburg, "Applications of versal deformations to Galois theory," Comment. Math. Helv. 78 (2003), 45-64. DOI: 10.1007/s000140300002

14. F.M. Bleher, "Universal deformation rings and Klein four defect groups," Trans. Amer. Math. Soc. 354 (2002), 3893-3906. DOI: 10.1090/S0002-9947-02-03072-6

13. F.M. Bleher and T. Chinburg, "Locations of modules for Brauer tree algebras," J. Pure Appl. Algebra 169 (2002), 109-135. DOI: 10.1016/S0022-4049(01)00069-X

12. F.M. Bleher and T. Chinburg, "Deformations and derived categories," C. R. Math. Acad. Sci. Paris 334 (2002), 97-100. DOI: 10.1016/S1631-073X(02)02237-9

11. F.M. Bleher and T. Chinburg, "Universal deformation rings and cyclic blocks," Math. Ann. 318 (2000), 805-836. DOI: 10.1007/s002080000148

10. F.M. Bleher and W. Kimmerle, "On the structure of integral group rings of sporadic groups," LMS J. Comput. Math. 3 (2000), 274-306. ISSN 1461-1570 (LMS JCM link to pdf file)

9. F.M. Bleher, "Operation of automorphisms on 1-tubes," J. Pure Appl. Algebra 138 (1999), 1-20. DOI: 10.1016/S0022-4049(97)00213-2

8. F.M. Bleher and T. Chinburg, "Operations on ring structures preserved by normalized automorphisms of group rings," J. Algebra 215 (1999), 531-542. DOI: 10.1006/jabr.1998.7749

7. F.M. Bleher, "Finite groups of Lie type of small rank," Pacific J. Math. 187 (1999), 215-239. (Pacific Journal link to pdf file)

6. F.M. Bleher, "Integral group rings of finite groups of Lie type," Bull. London Math. Soc. 31 (1999), 43-44. DOI: 10.1112/S0024609398004937

5. F.M. Bleher, "Special biserial algebras and their automorphisms," in: Trends in the Representation Theory of Finite Dimensional Algebras, edited by E.L. Green, B. Huisgen-Zimmermann, Contemp. Math. 229 (1998), pp. 17-27. (Contemporary Mathematics link)

4. F.M. Bleher, "Automorphisms of string algebras", J. Algebra 201 (1998), 528-546. DOI: 10.1006/jabr.1997.7290

3. F.M. Bleher, M. Geck and W. Kimmerle, "Automorphisms of generic Iwahori-Hecke algebras and integral group rings of finite Coxeter groups," J. Algebra 197 (1997), 615-655. DOI: 10.1006/jabr.1997.7118

2. F.M. Bleher, G. Hiss and W. Kimmerle, "Autoequivalences of blocks and a conjecture of Zassenhaus," J. Pure Appl. Alg. 103 (1995), 23-43. DOI: 10.1016/0022-4049(94)00091-V

1. F.M. Bleher, "Tensor products and a conjecture of Zassenhaus," Arch. Math. 64 (1995), 289-298. DOI: 10.1007/BF01198082

B. EXPOSITORY ARTICLES: REFEREED

1. F.M. Bleher, W. Kimmerle, K.W. Roggenkamp and M. Wursthorn, "Computational aspects of the isomorphism problem," in: Algorithmic Algebra and Number Theory, editors: B.H. Matzat, G.-M. Greuel, G. Hiss, Springer-Verlag, 1999, pp. 313-329.